
简便计算(1+2/3)*(1-2/3)*(1+2/5)*(1-2/5)*……*(1+2/99)*(1-2/99)
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(1+2/3)*(1-2/3)*(1+2/5)*(1-2/5)*......*(1+2/99)*(1-2/99)
=(1+2/3)*(1+2/5)*......*(1+2/99)*(1-2/3)*(1-2/5)*......*(1-2/99)
=5/3*7/5*......*101/97*1/3*3/5*......*97/99
=1/3*101*1/99
=101/297
=(1+2/3)*(1+2/5)*......*(1+2/99)*(1-2/3)*(1-2/5)*......*(1-2/99)
=5/3*7/5*......*101/97*1/3*3/5*......*97/99
=1/3*101*1/99
=101/297
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(1+2/3)*(1-2/3)*(1+2/5)*(1-2/5)*……*(1+2/99)*(1-2/99)
=5/3*1/3*7/5*3/5*....*101/99*97/99
=1/3*101/99
=101/297
=5/3*1/3*7/5*3/5*....*101/99*97/99
=1/3*101/99
=101/297
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阿,谢谢你
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